19828320 has 96 divisors (see below), whose sum is σ = 63231840. Its totient is φ = 5222400.

The previous prime is 19828271. The next prime is 19828327. The reversal of 19828320 is 2382891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19828327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48276 + ... + 48684.

It is an arithmetic number, because the mean of its divisors is an integer number (658665).

Almost surely, 2^19828320 is an apocalyptic number.

19828320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31615920).

19828320 is an abundant number, since it is smaller than the sum of its proper divisors (43403520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19828320 is a wasteful number, since it uses less digits than its factorization.

19828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 19828320 is about 4452.9001785353. The cubic root of 19828320 is about 270.6628432839.

The spelling of 19828320 in words is "nineteen million, eight hundred twenty-eight thousand, three hundred twenty".